On the relative fundamental solutions for a second order differential operator on the Heisenberg group
T. Godoy ; L. Saal
Studia Mathematica, Tome 147 (2001), p. 143-164 / Harvested from The Polish Digital Mathematics Library
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Let Hₙ be the (2n+1)-dimensional Heisenberg group, let p,q ≥ 1 be integers satisfying p+q=n, and let L=∑j=1p(X²j+Y²j)-∑j=p+1n(X²j+Y²j), where X₁,Y₁,...,Xₙ,Yₙ,T denotes the standard basis of the Lie algebra of Hₙ. We compute explicitly a relative fundamental solution for L.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:286506 
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T. Godoy; L. Saal. On the relative fundamental solutions for a second order differential operator on the Heisenberg group. Studia Mathematica, Tome 147 (2001) pp. 143-164. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm145-2-4/